Charles was 4 of 4 from the field, including three 3-pointers, and 4 of 4 from the free-throw line.
Luke Nelson's 3-pointer gave UC Irvine (4-4) a 57-53 lead with about 6 minutes to play.
Charles scored eight points, including a pair of 3-pointers, during a 12-3 run that gave UT Arlington (5-4) a 66-60 lead with 31 seconds left.
UC Irvine's Mamadou Ndiaye, the team's leading scorer (12 per game) and shot blocker (two per game) missed his third consecutive game with a foot injury.
Alex Young had a career-high six steals for the Anteaters.